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The recent Quantum Hall experiments in graphene have confirmed the theoretically well-understood picture of the quantum Hall (QH) conductance in fermion systems with continuum Dirac spectrum. In this paper we take into account the lattice,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Andrei Bernevig , Taylor L. Hughes , Han-Dong Chen , Congjun Wu , Shou-Cheng Zhang

Recent scanning tunneling microscopy experiments on graphene at charge neutrality under strong magnetic fields have uncovered a ground state characterized by Kekul\'e distortion (KD). In contrast, non-local spin and charge transport…

Mesoscale and Nanoscale Physics · Physics 2024-01-24 Nemin Wei , Guopeng Xu , Inti Sodemann Villadiego , Chunli Huang

Recent experimental work on locally gated graphene layers resulting in p-n junctions have revealed quantum Hall effect in their transport behavior. We explain the observed conductance quantization which is fractional in the bipolar regime…

Mesoscale and Nanoscale Physics · Physics 2007-08-07 D. A. Abanin , L. S. Levitov

We investigate the influence of the superconducting (S) proximity effect in the quantum Hall (QH) regime by computing the charge conductance flowing through a graphene-based QH/S/QH junction. This situation offers the exciting possibility…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Pierre Carmier

Interaction driven integer quantum Hall effects are anticipated in graphene bilayers because of the near-degeneracy of the eight Landau levels which appear near the neutral system Fermi level. We predict that an intra-Landau-level cyclotron…

Mesoscale and Nanoscale Physics · Physics 2008-08-31 Yafis Barlas , R. Cote , K. Nomura , A. H. MacDonald

Electrostatic confinement of charge carriers in graphene is governed by Klein tunneling, a relativistic quantum process in which particle-hole transmutation leads to unusual anisotropic transmission at pn junction boundaries. Reflection and…

Driven tunneling between graphene Landau levels is theoretically linked to the process of pair creation from vacuum, a prediction of quantum electrodynamics (QED). Landau levels are created by the presence of a strong, constant, quantizing…

Mesoscale and Nanoscale Physics · Physics 2016-06-21 Denis Gagnon , François Fillion-Gourdeau , Joey Dumont , Catherine Lefebvre , Steve MacLean

Creation of high quality p-n junctions in graphene monolayer is vital in studying many exotic phenomena of massless Dirac fermions. However, even with the fast progress of graphene technology for more than ten years, it remains…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Ke-Ke Bai , Jiao-Jiao Zhou , Yi-Cong Wei , Jia-Bin Qiao , Yi-Wen Liu , Hai-Wen Liu , Hua Jiang , Lin He

The effect of Mn intercalation on the atomic, electronic and magnetic structure of the graphene/Cu(111) interface is studied using state-of-the-art density functional theory calculations. Different structural models of the…

Materials Science · Physics 2021-12-23 Qilin Guo , Yuriy Dedkov , Elena Voloshina

We describe an infrared transmission study of a thin layer of bulk graphite in magnetic fields up to B = 34 T. Two series of absorption lines whose energy scales as sqrtB and B are present in the spectra and identified as contributions of…

Mesoscale and Nanoscale Physics · Physics 2009-04-20 M. Orlita , C. Faugeras , J. M. Schneider , G. Martinez , D. K. Maude , M. Potemski

We study the influence of the quantum geometry on the magnetic responses of quadratic band crossing semimetals. More explicitly, we examine the Landau levels, quantum Hall effect, and magnetic susceptibility of a general two-band…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Chang-geun Oh , Jun-Won Rhim , Bohm-Jung Yang

Measurement and theory of the two-terminal conductance of monolayer and bilayer graphene in the quantum Hall regime are compared. We examine features of conductance as a function of gate voltage that allow monolayer, bilayer, and gapped…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 J. R. Williams , D. A. Abanin , L. DiCarlo , L. S. Levitov , C. M. Marcus

We propose the design of low strained and energetically favourable mono and bilayer graphene overlayer on anatase TiO$_2$ (001) surface and examined the electronic structure of the interface with the aid of first principle calculations. In…

Materials Science · Physics 2020-12-22 Shashi B. Mishra , Somnath C. Roy , B. R. K. Nanda

We demonstrate that surface relaxation, which is insignificant in trilayer graphene, starts to manifest in Bernal-stacked tetralayer graphene. Bernal-stacked few-layer graphene has been investigated by analyzing its Landau level spectra…

The electron-hole symmetry in graphene monolayer, which is analogous to the inherent symmetric structure between electrons and positrons of the Universe, plays a crucial role in the chirality and chiral tunnelling of massless Dirac…

Materials Science · Physics 2015-09-16 Ke-Ke Bai , Yi-Cong Wei , Jia-Bin Qiao , Si-Yu Li , Long-Jing Yin , Wei Yan , Jia-Cai Nie , Lin He

A systematic review is made for the AA-, AB- and ABC-stacked graphites. The generalized tight-binding model, accompanied with the effective-mass approximation and the Kubo formula, is developed to investigate electronic and optical…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Chiun-Yan Lin , Rong-Bin Chen , Yen-Hung Ho , Ming-Fa Lin

Manipulating electron quantum 1D channels is an important element in the field of quantum information due to their ballistic and phase coherence properties. In GaAs and graphene based two dimensional gas systems, these edge channels have…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Won Beom Choi , Myungjin Jeon , K. Watanabe , T. Taniguchi , Joonho Jang

We investigate the effect of spin-orbit coupling on the band structure of graphene-based two-dimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Pierre Carmier , Oleksii Shevtsov , Christoph Groth , Xavier Waintal

Graphene, as an atomic-thick ultrasoft membrane, almost has no resistance against out-of-plane deformations and, therefore, it is always wrinkled to a certain degree. Recently, corrugated structures and their effects on the electronic…

Mesoscale and Nanoscale Physics · Physics 2016-09-13 Si-Yu Li , Hua Jiang , Jiao-Jiao Zhou , Haiwen Liu , Fan Zhang , Lin He

We study 3+1 dimensional $SU(N)$ Quantum Chromodynamics (QCD) with $N_f$ degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain…

High Energy Physics - Theory · Physics 2021-04-28 Pranay Gorantla , Ho Tat Lam
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